SU\G(𝔾)/K·U

Descent on certain Shimura curves

Alexei N. Skorobogatov, Andrei Yafaev

Type: Article

Publication Date: 2004-12-01

Citations: 14

DOI: https://doi.org/10.1007/bf02786638

Locations

  • Israel Journal of Mathematics - View

Similar Works

Action Title Year Authors
+ Introduction to Shimura curves 2012 Montserrat Alsina
Pilar BĂĄyer
+ PDF Chat On the Hasse principle for Shimura curves 2009 Pete L. Clark
+ Heegner points on Shimura curves 2003 Henri Darmon
+ Arithmetic of Shimura curves 2010 Shou-Wu Zhang
+ PDF Chat Ramanujan-type identities for Shimura curves 2016 Yifan Yang
+ On some examples of equations defining Shimura curves and the Mumford uniformization 1979 Akira Kurihara
+ Shimura curves analogous to X〓0〓(N) 1989 David P. Roberts
+ Special points on products of two Shimura curves 2001 Andrei Yafaev
+ Integral models of certain Shimura curves 1997 Kevin Buzzard
+ Chapter 3. Cycles on Shimura curves 2006
+ A note on algebraic points on Shimura curves 2018 Keisuke Arai
+ Local diophantine properties of Shimura curves 1985 Bruce W. Jordan
Ron Livné
+ Special Cycles on Shimura Curves and the Shimura Lift 2012 Siddarth Sankaran
+ PDF Chat Congruence relations and Shimƫra curves 1979 Yasutaka Ihara
+ Points on Shimura curves over fields of even degree 1990 S. Kamienny
+ Conjugates of shimura varieties 2006 J. S. Milne
K.-Y. Shih
+ Contributions to Shimura Curves. 2011 Pilar BĂĄyer
+ ON p-ADIC POINCARÉ SERIES AND SHIMURA CURVES 1994 Akira Kurihara
+ Congruence relations and Shimura curves II 1979 Yasutaka Ihara
+ The Gross-Zagier Formula on Shimura Curves 2012 Xinyi Yuan
Shou-wu Zhang
Wei Zhang

Works That Cite This (14)

Action Title Year Authors
+ On the Hasse principle for Shimura curves 2005 Pete L. Clark
+ Rational points on Shimura curves and Galois representations 2014 Carlos de Vera‐Piquero
+ PDF Chat Rational points on Atkin–Lehner quotients of geometrically hyperelliptic Shimura curves 2023 Oana Padurariu
Ciaran Schembri
+ PDF Chat Shimura coverings of Shimura curves and the Manin obstruction 2005 Alexei N. Skorobogatov
+ Rational points on Shimura curves and Galois representations 2014 Vera Piquero
Carlos de
+ PDF Chat On the Hasse principle for Shimura curves 2009 Pete L. Clark
+ PDF Chat Points on Shimura curves rational over imaginary quadratic fields in the non-split case 2023 Keisuke Arai
+ Failure of the Hasse Principle for Atkin–Lehner Quotients of Shimura Curves over Q 2005 Víctor Rotger
Alexei N. Skorobogatov
Andrei Yafaev
+ PDF Chat Galois Representations Over Fields of Moduli and Rational Points on Shimura Curves 2013 VĂ­ctor Rotger
Carlos de Vera‐Piquero
+ PDF Chat Proving the triviality of rational points on Atkin–Lehner quotients of Shimura curves 2007 Pierre Parent
Andrei Yafaev

Works Cited by This (8)

Action Title Year Authors
+ Points on Shimura curves rational over number fields. 1986 Bruce W. Jordan
+ Torsors and Rational Points 2001 Alexei N. Skorobogatov
+ PDF Chat Arithmétique des AlgÚbres de Quaternions 1980 Marie-France Vignéras
+ Local points on P-adically uniformized Shimura varieties 2002 Bruce W. Jordan
Ron Livné
Yakov Varshavsky
+ On the real points of an arithmetic quotient of a bounded symmetric domain 1975 Goro Shimura
+ Local diophantine properties of Shimura curves 1985 Bruce W. Jordan
Ron Livné
+ Integral models of certain Shimura curves 1997 Kevin Buzzard
+ ON A SHIMURA CURVE THAT IS A COUNTEREXAMPLE TO THE HASSE PRINCIPLE 2003 Samir Siksek
Alexei N. Skorobogatov